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Finding the Third Proportional to 59,708 and 125,896

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Solution

The third proportional to 59,708 and 125,896 is: 265,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,708 : 125,896 = 125,896 : x
  2. Step 2: Convert to fraction form
    59,708/125,896 = 125,896/x
  3. Step 3: Cross multiply
    59,708x = 125,896 × 125,896
  4. Step 4: Simplify right side
    59,708x = 15,849,802,816
  5. Step 5: Solve for x
    x = 15,849,802,816/59,708
  6. Step 6: Final answer
    x = 265,455.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.